Biseparable extensions are not necessarily Frobenius

被引：0

作者：

Gomez-Torrecillas, Jose ^{[1
]}

Lobillo, F. J. ^{[1
,2
]}

Navarro, Gabriel ^{[2
,3
]}

Patricio Sanchez-Hernandez, Jose ^{[1
]}

机构：

[1] Univ Granada, Dept Algebra, Granada, Spain

[2] Univ Granada, CITIC, Granada, Spain

[3] Univ Granada, Dept Comp Sci & AI, Granada, Spain

来源：

MATHEMATISCHE ZEITSCHRIFT | 2021年 / 297卷 / 1-2期

关键词：

Separable extension; Split extension; Frobenius extension; Biseparable extension; Ore polynomial ring;

D O I：

10.1007/s00209-020-02523-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give necessary and sufficient conditions on an Ore extension A[x; s, d], where A is a finite dimensional algebra over a field F, for being a Frobenius extension of the ring of commutative polynomials F[x]. As a consequence, as the title of this paper highlights, we provide a negative answer to a problem stated by Caenepeel and Kadison.

引用

页码：517 / 533

页数：17

共 20 条

[1] Are biseparable extensions Frobenius? [J].